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Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
1

%I #4 Nov 12 2015 07:58:07

%S 9,61,2345,60858,1742881,48714516,1363452981,38221084820,

%T 1068788896516,29927513269705,837176817328453,23429857747772820,

%U 655532815387819189,18343277111401479326,513247057017765586701,14361187855657149397556

%N Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.

%C Column 5 of A264379.

%H R. H. Hardin, <a href="/A264376/b264376.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..6..2..3..7..8.11....1..2..3..7.10..9....6..2..8..7.10..9....6..7..8..4.10..9

%e ..0..1.12.10..4.15....0.13.12.15..4..5....0..1.12.13..4..5....0..1.14..3.16.15

%e .13.19.18..5.17.21....6.14.18.21.17.11...18..3.15.21.17.11....2.19.18..5.17.11

%e .24..9.14.27.16.29....8.20.24.22.26.27...24.25.26.22.16.27...12.13.24.27.28.29

%e .25.26.20.28.22.23...25.19.16.28.29.23...14.19.20.28.29.23...25.26.20.21.22.23

%Y Cf. A264379.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 12 2015